4628345800 has 48 divisors (see below), whose sum is σ = 11588672340. Its totient is φ = 1708926720.

The previous prime is 4628345791. The next prime is 4628345809. The reversal of 4628345800 is 85438264.

It is an interprime number because it is at equal distance from previous prime (4628345791) and next prime (4628345809).

It can be written as a sum of positive squares in 6 ways, for example, as 1104498756 + 3523847044 = 33234^2 + 59362^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4628345809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 887467 + ... + 892666.

Almost surely, 2^4628345800 is an apocalyptic number.

4628345800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4628345800 is an abundant number, since it is smaller than the sum of its proper divisors (6960326540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4628345800 is a wasteful number, since it uses less digits than its factorization.

4628345800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780162 (or 1780153 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 4628345800 is about 68031.9469073170. The cubic root of 4628345800 is about 1666.5125928683.

The spelling of 4628345800 in words is "four billion, six hundred twenty-eight million, three hundred forty-five thousand, eight hundred".